Arunava Mandal

activity

20202022

collaborators

3 papers

math.RT2022

On universal subspaces for Lie groups

Saurav Bhaumik, Arunava Mandal

Let $U$ be a finite dimentional vector space over $R$ or $C$ , and let $ρ : G \to G L (U)$ be a representation of a connected Lie group $G$ . A linear subspace $V\subset U…

math.GR2021

Group actions and power maps for groups over non-Archimedean local fields

Arunava Mandal, C. R. E. Raja

We consider linear groups and Lie groups over a non-Archimedean local field $F$ for which the power map $x \mapsto x^{k}$ has a dense image or it is surjective. We prove that…

math.GR2020

Dense images of the power maps for a disconnected real algebraic group

Arunava Mandal

Let $G$ be a complex algebraic group defined over $R$ , which is not necessarily Zariski connected. In this article, we study the density of the images of the power maps $g\…